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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 361, Pages 145–166 (Mi znsl2187)  
This article is cited in 2 scientific papers (total in 2 papers)

Lévy–Khinchin representation of a class of signed measures

N. V. Smorodina, M. M. Faddeev

Saint-Petersburg State University
Full-text PDF (268 kB) Citations (2)
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Abstract: We study properties of symmetric stable measures with the index of stability $\alpha\in(2,4)\cup(4,6)$. For such signed measures we construct a natural analogue of the Lévy–Khinchin representation. We show that in some special sense these measures are limit measures for the sums of independent random variables. Bibl. – 6 titles.
Received: 06.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 159, Issue 3, Pages 363–375
DOI: https://doi.org/10.1007/s10958-009-9449-4
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: N. V. Smorodina, M. M. Faddeev, “Lévy–Khinchin representation of a class of signed measures”, Probability and statistics. Part 13, Zap. Nauchn. Sem. POMI, 361, POMI, St. Petersburg, 2008, 145–166; J. Math. Sci. (N. Y.), 159:3 (2009), 363–375
Citation in format AMSBIB
\Bibitem{SmoFad08}
\by N.~V.~Smorodina, M.~M.~Faddeev
\paper L\'evy--Khinchin representation of a~class of signed measures
\inbook Probability and statistics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 361
\pages 145--166
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2187}
\zmath{https://zbmath.org/?q=an:1181.60020}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 159
\issue 3
\pages 363--375
\crossref{https://doi.org/10.1007/s10958-009-9449-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349202797}
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  • https://www.mathnet.ru/eng/znsl/v361/p145
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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